Решим уравнение:
$$6x(-3x - 6) = -6 - 6x(3x + 4)$$
$$-18x^2 - 36x = -6 - 18x^2 - 24x$$
$$-18x^2 + 18x^2 - 36x + 24x = -6$$
$$-12x = -6$$
$$x = \frac{-6}{-12} = \frac{1}{2} = 0.5$$
Ответ: $$x = 0.5$$